Adam was learning to play a new a board game. He spun the spinner 5 times, and each time it landed on "Go back 4 spaces." How did the position of Adam's game piece change over these 5 spins?

Answer:

X=4-y

2(4-y)+4y=12

8-2y+4y=12

2y=12-8

2y=4

y=4/2

y=2

x=4-y

x=4-2

x=2

Answer:

[tex]L = 111[/tex]

[tex]M = 69[/tex]

Step-by-step explanation:

Given

[tex]L = 12x + 45[/tex]

[tex]M = 18x - 30[/tex]

Required

Determine L and M

Since both angles are supplementary;

[tex]L + M = 180[/tex]

Substitute values for L and M

[tex]12x + 45 + 18x - 30 = 180[/tex]

Collect Like Terms

[tex]12x + 18x= 180 - 45 + 30[/tex]

[tex]30x= 165[/tex]

Divide both sides by 30

[tex]x = \frac{165}{30}[/tex]

[tex]x = 5.5[/tex]

Substitute 5.5 for x in [tex]L = 12x + 45[/tex]  and    [tex]M = 18x - 30[/tex]

[tex]L = 12 * 5.5 + 45[/tex]

[tex]L = 111[/tex]

[tex]M = 18 * 5.5 - 30[/tex]

[tex]M = 69[/tex]

Answer:

Exact form.... X= 5/81, - 5/81

Step-by-step explanation:

Hope this helps

Answer:

3.75 gallons

Step-by-step explanation:

speed = distance/time

s = d/t

d = st

d = (60 mi/hr) * (75 min) * (1 hour)/(60 min) = 75 miles

In 75 minutes of driving at 60 mph, he drives 75 miles.

fuel economy = distance/volume

volume * fuel economy = distance

volume = distance/(fuel economy)

volume = (75 miles)/(20 miles/gal)

volume = 3.75 gallons

Answer: 3.75 gallons

Answer:

[tex]13x - 3.4 = 17.6 + 10x[/tex]

[tex] = ) \: 13x - 10x = 17.6 + 3.4[/tex]

[tex] = ) \: 3x = 21[/tex]

[tex] = )x = \frac{21}{3} [/tex]

[tex] = ) \: x = 7[/tex]

x = 7

13x - 3.4 = 17.6 + 10x

13x - 10x = 17.6 + 3.4

3x = 21

x = 21 : 3

x = 7

Answer:

3x-2

Step-by-step explanation:

The algebraic expression is 3x -2.

Algebraic expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

We have to determine an algebraic expression for "2 less than the product of 3 and a number x"

Here, the product of 3 and a number x

⇒ 3x

Therefore, 2 is less than the product of 3, and a number x as

⇒ 3x -2

Hence, the algebraic expression is 3x -2.

Learn more about an algebraic expression here:

brainly.com/question/13947055

#SPJ2

Answer:

in fraction form it is X= 1/3

in decimal form it is X= 0.3 rep.

Step-by-step explanation:

I think it’s z=1 hope this helps

Answer:

z=-1

Step-by-step explanation:

-2(4z-4)=10-6z

First, distribute the -2 into the parenthesis to get:

-8z+8=10-6z

Then, add 8z to each side to eliminate it from the left side to get:

8=10+8z-6z

Simplify the right side and combine the z's:

8=10+2z

Subtract 10 from BOTH sides to get:

-2=2z

Finally, to get z alone, divide everything by 2 to get:

-1=z or z=-1

Answer:

143.733 f/s

Explanation:

for an approximate result, multiply the speed value by 1.467

Answer:

[tex]\boxed{\tt x=3}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]5x=15[/tex]

and asked to solve for [tex]x[/tex]. Therefore, we must isolate the variable on one side of the equation.

[tex]x[/tex] is being multiplied by 5. The inverse of multiplication is division. Divide both sides of the equation by 5.

[tex]\frac{5x}{5}=\frac{15}{5}[/tex]

[tex]x=\frac{15}{5}[/tex]

[tex]x=3[/tex]

Let's check our solution. Plug 3 in for x and solve.

[tex]5x=15[/tex]

[tex]5(3)=15[/tex]                      

[tex]15=15[/tex]

This checks out, so we know our solution is correct.

The solution to 5x=15 is x=3.

Answer:

150

Step-by-step explanation:

125/2.5=50

50x3 =150

Answer:

150

Step-by-step explanation:

I took the Practice/Instruction :)

Answer:

  C = 50p +900

Step-by-step explanation:

Table: (phones, cost) = (0, 900), (1, 950), (2, 1000).

Equation: C = 900 +50p

__

The fixed cost (900) is the "y-intercept" of the equation in slope-intercept form. The cost per phone (50) is the "rate of change" or slope.

Hi there!

Your answer to this question would be, B) 2 miles.

Happy to Help!

Answer:

35/128

Step-by-step explanation:

7 coins are tossed, each coin has two possibilities therefore total number of possibilities are 2^7 = 128. The possibilities of obtaining 4 heads and 3 tails is 7C4 = 7C3 = 35. Therefore the probability of obtaining 4 heads and 3 tails 35/128.

Answer:

127.6 mins

Step-by-step explanation:

70m per 1hr

1 mile per 1.16 min

110 mile × 1.16 min per mile

127.6 minutes

Answer:

Solve for x in simplest form. 4=4/3 (x−6)

x=9

Step-by-step explanation:

Answer: x = 9

Step-by-step explanation: first you distribute the 4/3 to (x-6) by multiply 4/3 to x and to -6. Which will be 4=4/3x-24/3, then you simplify 24/3 which equal s 4=4/3x-8. Cancel the -8 by adding each side by 8, it'll be 4+8=4/3x-8+8. Which equals 12=4/3x. Then you divide each side by 4/3 to cancel the 4/3. 12/(4/3)=x & to divide a fraction you just need to cross multiply the number so it will be (12/1 x 3/4) = 36/4= 9 so x will be = 9.

The midpoint of AB is (-1, 4.5)

x-coordinates: (2-4)/2 = -2/2 = -1

y-coordinates: (3+6)/2 = 9/2 = 4.5

Solution: (-1, 4.5)

The value of y is 27. (first option.)

isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

27

Step-by-step explanation:

2(3y + 6 +3)

2(9 + 3y)

18 + 6y

18 + 6y = 196 -16

6y =196 -16 -18  

6y = 162

162 divided by 6 = 27

y =27

Answer:

Step-by-step explanation:

mean aka average: (9+9+3+2+8+7+4)/7 = 6

Answer:

6

Step-by-step explanation:

Mean = Sum of the numbers/total no of numbers

There are 7 numbers

[tex]\frac{9+ 9+ 3+ 2+8+ 7+ 4}{7} \\\\= \frac{42}{7} \\\\Divide\\\\= 6[/tex]

Answer:

Intercepts in terms of graphing are considered to be points at which a function crosses an axis.  In the standard x and y graph (the Cartesian coordinate grid), one would find the intercepts by simply plugging in the value of 0 for either the x or the y to find either the y or x intercept respectively.  For example, to find the y-intercept, you want to find (0,y) and to find the x-intercept, you want to find (x,0).

Cheers.

Answer:

did you know that a W is the upside down logo of McDonald's?

okay but seriously though, the answer in -9.1

Answer:

-9.1

Step-by-step explanation:

-2+7.1=-9.1. you just add them together when they are both negatives

Answer:

-5 + -4 = -9

Step-by-step explanation:

-5 + -4 = -9

Start at 0.

You will need to move 5 spaces to the left (Negative numbers move to the left while positives go right).

And -4. Move 4 spaces left again. There you land at -9.

The plus sign is just to combine -5 and -4 together.

Thus the answer is:

-5 + -4 is -9.

Here’s why the other equations aren’t correct.

The first equation says “5 + 4 = 9”.

To represent this, you would move 5 spaces to the right (because the number is posititve.)

Then combine 4. Which you move 4 spaces to the right again. This leaves you at 9 instead of -9.

The second equation says “-5 + -9 = -14”.

To represent this, you would move 5 spaces to the left.

Then move 9 spaces to the left again. Which leaves you at -14.

Your final destination should be -9. Not anywhere else.

Step-by-step explanation:

wrong question.........??????

Answer:

what ?

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

a is not correct because the domain includes negative numbers as well

c is not correct because the domain includes positive numbers as well

and

d is not correct because the range for this function includes ordered pairs from the quadrants I and III (not I and IV)

hope this helps :)

Answer:

No

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

If (x - 3) is a factor of the polynomial then f(3) = 0

Given

f(x) = 5[tex]x^{5}[/tex] - 3[tex]x^{4}[/tex] + 2x² - 9x + 12 , then

f(3) = 5[tex](3)^{5}[/tex] - 3[tex](3)^{4}[/tex] + 2(3)² - 9(3) + 12

      = 5(243) - 3(81) + 2(9) - 27 + 12

      = 1215 - 243 + 18 - 27 + 12 = 975

Since f(3) ≠ 0 then (x - 3) is not a factor of the polynomial

Answer:

7x^2 −12x−10

Step-by-step explanation:

 ((5x2 -  8x) +  1) +  (2x2 - 4x - 11)

Factoring  7x2-12x-10

The first term is,  7x2  its coefficient is  7 .

The middle term is,  -12x  its coefficient is  -12 .

The last term, "the constant", is  -10

Step-1 : Multiply the coefficient of the first term by the constant   7 • -10 = -70

Step-2 : Find two factors of  -70  whose sum equals the coefficient of the middle term, which is   -12 .

     -70    +    1    =    -69

     -35    +    2    =    -33

     -14    +    5    =    -9

     -10    +    7    =    -3

     -7    +    10    =    3

     -5    +    14    =    9

     -2    +    35    =    33

     -1    +    70    =    69

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Answer: g = 90

Step-by-step explanation: